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Finding the Fourth Proportional to 165.84, 228.87 and 141.27

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Solution

The fourth proportional to 165.84, 228.87 and 141.27 is: 194.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.84 : 228.87 = 141.27 : x
  2. Step 2: Convert to fraction form
    165.84/228.87 = 141.27/x
  3. Step 3: Cross multiply
    165.84x = 228.87 × 141.27
  4. Step 4: Simplify right side
    165.84x = 32,332.46
  5. Step 5: Solve for x
    x = 32,332.46/165.84
  6. Step 6: Final answer
    x = 194.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.